Finding the Third Proportional to 69,858 and 110,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,858 : 110,665.50 = 110,665.50 : x
2. Step 2: Convert to fraction form
   69,858/110,665.50 = 110,665.50/x
3. Step 3: Cross multiply
   69,858x = 110,665.50 × 110,665.50
4. Step 4: Simplify right side
   69,858x = 12,246,852,890.25
5. Step 5: Solve for x
   x = 12,246,852,890.25/69,858
6. Step 6: Final answer
   x = 175,310.67